US11749985B2ActiveUtilityA1

Method and device for timing in time-varying distance protection based on multiple lines in tower

49
Assignee: CHINA ELECTRIC POWER RES INSTPriority: Jul 16, 2019Filed: Oct 31, 2019Granted: Sep 5, 2023
Est. expiryJul 16, 2039(~13 yrs left)· nominal 20-yr term from priority
H02J 2103/30H02H 7/263H02H 1/0061H02J 2203/20H02H 7/26H02H 1/0092H02H 3/40
49
PatentIndex Score
0
Cited by
21
References
11
Claims

Abstract

A method and device for timing in time-varying distance protection based on multiple lines of a tower. The method includes: collecting an instantaneous current value at a time-varying distance protection installation location in the multiple lines of the tower, and acquiring preset parameters; calculating, according to the preset parameters and a multi-line ranging model, a multi-line ranging result; calculating, according to the preset parameters, the multi-line ranging result, and an adaptive calculation model, time of a section-II distance protection action and final time of a section-III distance protection action; and determining, according to the instantaneous current value, the preset parameters, and a cross-line failure auxiliary criterion model, final time of the section-II distance protection action.

Claims

exact text as granted — not AI-modified
What is claimed is: 
     
       1. A method for timing in time-varying distance protection based on multiple lines of a tower, comprising:
 collecting an instantaneous current value at a time-varying distance protection installation location in the multiple lines of the tower, and acquiring preset parameters; 
 calculating, according to the preset parameters and a multi-line ranging model, a multi-line ranging result; 
 calculating, according to the preset parameters, the multi-line ranging result, and an adaptive calculation model, time t II  of a section-II distance protection action and final time t III  of a section-III distance protection action; and 
 determining, according to the instantaneous current value, the preset parameters, and a cross-line failure auxiliary criterion model, final time t′ II  of the section-II distance protection action. 
 
     
     
       2. The method of  claim 1 , wherein the preset parameters comprise a distance protection ranging result C, a length C L  of the multiple lines of the tower, and a number N of lines in the multiple lines of the tower, and a calculation formula of the multi-line ranging model is: 
       
         
           
             
                 
               
                 { 
                 
                   
                     
                       
                         
                           C 
                           D 
                         
                         = 
                         
                           
                             C 
                             N 
                           
                           + 
                           
                             
                               
                                 ( 
                                 
                                   N 
                                   - 
                                   1 
                                 
                                 ) 
                               
                               ⁢ 
                               
                                 C 
                                 L 
                               
                             
                             N 
                           
                         
                       
                     
                     
                       
                         C 
                         ≥ 
                         
                           C 
                           L 
                         
                       
                     
                   
                   
                     
                       
                         
                           C 
                           b 
                         
                         = 
                         C 
                       
                     
                     
                       
                         C 
                         < 
                         
                           C 
                           L 
                         
                       
                     
                   
                 
               
             
           
         
         where C D  is the multi-line ranging result, and the N is a positive integer. 
       
     
     
       3. The method of  claim 2 , wherein calculating, according to the preset parameters, the multi-line ranging result, and the adaptive calculation model, the time t II  of the section-II distance protection action and the final time t III  of the section-III distance protection action comprises:
 calculating, according to the preset parameters, the multi-line ranging result, the adaptive calculation model, an intermediate action time value; 
 calculating, according to the preset parameters, the multi-line ranging result, the adaptive calculation model, and the intermediate action time value, the time t II  of the section-II distance protection action and the final time t III  of the section-III distance protection action. 
 
     
     
       4. The method of  claim 3 , wherein the preset parameters further comprise a time range K 0 , a minimum time t min  of the section-III distance protection action and a maximum time L III.set  of the section-III distance protection action; there are six intermediate action time values in the adaptive calculation model, corresponding to the following six calculation formulas: 
       
         
           
             
               { 
               
                 
                   
                     
                       
                         
                           t 
                           1 
                         
                         = 
                         
                           
                             a 
                             
                               1 
                               ⁢ 
                               1 
                             
                           
                           ⁢ 
                           
                             
                               
                                 b 
                                 
                                   1 
                                   ⁢ 
                                   1 
                                 
                               
                               ⁢ 
                               
                                 
                                   C 
                                   D 
                                 
                                 / 
                                 
                                   C 
                                   L 
                                 
                               
                             
                           
                         
                       
                     
                     
                       
                         
                           C 
                           D 
                         
                         ≤ 
                         
                           
                             e 
                             
                               1 
                               ⁢ 
                               1 
                             
                           
                           ⁢ 
                           
                             C 
                             L 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           t 
                           1 
                         
                         = 
                         
                           
                             
                               a 
                               
                                 1 
                                 ⁢ 
                                 2 
                               
                             
                             ⁢ 
                             
                               
                                 
                                   b 
                                   
                                     1 
                                     ⁢ 
                                     2 
                                   
                                 
                                 ⁡ 
                                 
                                   ( 
                                   
                                     
                                       C 
                                       D 
                                     
                                     - 
                                     
                                       
                                         c 
                                         
                                           1 
                                           ⁢ 
                                           2 
                                         
                                       
                                       ⁢ 
                                       
                                         C 
                                         L 
                                       
                                     
                                   
                                   ) 
                                 
                               
                             
                           
                           + 
                           
                             d 
                             
                               1 
                               ⁢ 
                               2 
                             
                           
                         
                       
                     
                     
                       
                         
                           C 
                           D 
                         
                         > 
                         
                           
                             e 
                             
                               1 
                               ⁢ 
                               1 
                             
                           
                           ⁢ 
                           
                             C 
                             L 
                           
                         
                       
                     
                   
                 
                 ; 
                 
                   
 
                 
                 ⁢ 
                 
                   
                     t 
                     2 
                   
                   = 
                   
                     
                       a 
                       
                         2 
                         ⁢ 
                         1 
                       
                     
                     ⁢ 
                     
                       
                         
                           C 
                           D 
                         
                         - 
                         
                           
                             c 
                             
                               2 
                               ⁢ 
                               1 
                             
                           
                           ⁢ 
                           
                             C 
                             L 
                           
                         
                       
                     
                   
                 
                 ; 
                 
                   
 
                 
                 ⁢ 
                 
                   { 
                   
                     
                       
                         
                           
                             
                               t 
                               3 
                             
                             = 
                             
                               
                                 a 
                                 
                                   3 
                                   ⁢ 
                                   1 
                                 
                               
                               ⁢ 
                               
                                 
                                   
                                     b 
                                     
                                       3 
                                       ⁢ 
                                       1 
                                     
                                   
                                   ⁡ 
                                   
                                     ( 
                                     
                                       
                                         C 
                                         D 
                                       
                                       - 
                                       
                                         
                                           c 
                                           
                                             3 
                                             ⁢ 
                                             1 
                                           
                                         
                                         ⁢ 
                                         
                                           C 
                                           L 
                                         
                                       
                                     
                                     ) 
                                   
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 d 
                                 
                                   3 
                                   ⁢ 
                                   1 
                                 
                               
                               ⁢ 
                               
                                 C 
                                 L 
                               
                             
                             ≤ 
                             
                               C 
                               D 
                             
                             ≤ 
                             
                               
                                 
                                   d 
                                   
                                     3 
                                     ⁢ 
                                     1 
                                   
                                 
                                 ⁢ 
                                 
                                   C 
                                   L 
                                 
                               
                               + 
                               
                                 e 
                                 
                                   3 
                                   ⁢ 
                                   1 
                                 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               t 
                               3 
                             
                             = 
                             
                               a 
                               
                                 3 
                                 ⁢ 
                                 2 
                               
                             
                           
                         
                         
                           
                             
                               
                                 
                                   d 
                                   
                                     3 
                                     ⁢ 
                                     1 
                                   
                                 
                                 ⁢ 
                                 
                                   C 
                                   L 
                                 
                               
                               + 
                               
                                 e 
                                 31 
                               
                             
                             < 
                             
                               C 
                               D 
                             
                           
                         
                       
                     
                     ; 
                     
                       
 
                     
                     ⁢ 
                     
                       { 
                       
                         
                           
                             
                               
                                 
                                   t 
                                   4 
                                 
                                 = 
                                 
                                   
                                     a 
                                     41 
                                   
                                   ⁢ 
                                   
                                     
                                       
                                         b 
                                         41 
                                       
                                       ⁡ 
                                       
                                         ( 
                                         
                                           
                                             C 
                                             D 
                                           
                                           - 
                                           
                                             
                                               c 
                                               41 
                                             
                                             ⁢ 
                                             
                                               C 
                                               L 
                                             
                                           
                                         
                                         ) 
                                       
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     d 
                                     41 
                                   
                                   ⁢ 
                                   
                                     C 
                                     L 
                                   
                                 
                                 ≤ 
                                 
                                   C 
                                   D 
                                 
                                 ≤ 
                                 
                                   
                                     
                                       d 
                                       41 
                                     
                                     ⁢ 
                                     
                                       C 
                                       L 
                                     
                                   
                                   + 
                                   
                                     e 
                                     41 
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   t 
                                   4 
                                 
                                 = 
                                 
                                   a 
                                   42 
                                 
                               
                             
                             
                               
                                 
                                   
                                     
                                       d 
                                       41 
                                     
                                     ⁢ 
                                     
                                       C 
                                       L 
                                     
                                   
                                   + 
                                   
                                     e 
                                     41 
                                   
                                 
                                 < 
                                 
                                   C 
                                   D 
                                 
                               
                             
                           
                         
                         ; 
                         
                           
 
                         
                         ⁢ 
                         
                           { 
                           
                             
                               
                                 
                                   
                                     t 
                                     6 
                                   
                                   = 
                                   
                                     
                                       
                                         a 
                                         
                                           6 
                                           ⁢ 
                                           1 
                                         
                                       
                                       ⁢ 
                                       
                                         
                                           
                                             C 
                                             D 
                                           
                                           - 
                                           
                                             C 
                                             L 
                                           
                                         
                                       
                                       ⁢ 
                                       
                                           
                                       
                                       ⁢ 
                                       
                                         C 
                                         L 
                                       
                                     
                                     ≤ 
                                     
                                       C 
                                       D 
                                     
                                     ≤ 
                                     
                                       
                                         C 
                                         L 
                                       
                                       + 
                                       
                                         e 
                                         
                                           6 
                                           ⁢ 
                                           1 
                                         
                                       
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     t 
                                     6 
                                   
                                   = 
                                   
                                     
                                       
                                         
                                           a 
                                           
                                             6 
                                             ⁢ 
                                             2 
                                           
                                         
                                         ⁢ 
                                         
                                             
                                         
                                         ⁢ 
                                         
                                           C 
                                           L 
                                         
                                       
                                       + 
                                       
                                         e 
                                         
                                           6 
                                           ⁢ 
                                           1 
                                         
                                       
                                     
                                     < 
                                     
                                       C 
                                       D 
                                     
                                   
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
             
           
         
         where a 11 , a 12 , a 21 , a 31 , a 32 , a 41 , a 42 , a 51 , a 61 , a 62 , b 11 , b 12 , b 31 , b 41 , b 51 , c 12 , c 21 , c 31 , c 41 , c 51 , d 12 , d 31 , d 41 , e 11 , e 31 , e 41  and e 61  are all positive numbers. 
       
     
     
       5. The method of  claim 4 , wherein in the adaptive calculation model, the formula for calculating the time t II  of the section-II distance protection action is:
 when 0≤C D ≤f 11 C L , t II =t 1 , and if t II   g 11 , t II =g 11 ; 
 
       
         
           
             
               
                 
                   when 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   
                     f 
                     11 
                   
                   ⁢ 
                   
                     C 
                     L 
                   
                 
                 < 
                 
                   C 
                   D 
                 
                 ≤ 
                 
                   
                     f 
                     21 
                   
                   ⁢ 
                   
                     C 
                     L 
                   
                 
               
               , 
               
                 
                   t 
                   II 
                 
                 = 
                 
                   
                     ( 
                     
                       
                         t 
                         1 
                       
                       + 
                       
                         t 
                         2 
                       
                     
                     ) 
                   
                   ⁢ 
                   
                     
                       K 
                       0 
                     
                     
                       h 
                       21 
                     
                   
                 
               
               , 
               
                 
 
               
               ⁢ 
               
                 
                   if 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   
                     t 
                     II 
                   
                 
                 < 
                 
                   g 
                   21 
                 
               
               , 
               
                 
                   t 
                   II 
                 
                 = 
                 
                   g 
                   21 
                 
               
               , 
               
                 
                   and 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   if 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   
                     t 
                     II 
                   
                 
                 > 
                 
                   
                     h 
                     22 
                   
                   + 
                   
                     t 
                     2 
                   
                 
               
               , 
               
                 
                   
                     t 
                     II 
                   
                   = 
                   
                     
                       h 
                       22 
                     
                     + 
                     
                       t 
                       2 
                     
                   
                 
                 ; 
               
             
           
         
         
           
             
               
                 
                   when 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   
                     f 
                     21 
                   
                   ⁢ 
                   
                     C 
                     L 
                   
                 
                 < 
                 
                   C 
                   D 
                 
                 ≤ 
                 
                   
                     f 
                     31 
                   
                   ⁢ 
                   
                     C 
                     L 
                   
                 
               
               , 
               
                 
                   t 
                   II 
                 
                 = 
                 
                   
                     ( 
                     
                       
                         t 
                         1 
                       
                       = 
                       
                         
                           t 
                           2 
                         
                         + 
                         
                           t 
                           3 
                         
                       
                     
                     ) 
                   
                   ⁢ 
                   
                     
                       K 
                       0 
                     
                     
                       h 
                       31 
                     
                   
                 
               
               , 
               
                 
 
               
               ⁢ 
               
                 
                   and 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   if 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   
                     t 
                     II 
                   
                 
                 > 
                 
                   g 
                   31 
                 
               
               , 
               
                 
                   
                     t 
                     II 
                   
                   = 
                   
                     g 
                     31 
                   
                 
                 ; 
               
             
           
         
         
           
             
               
                 
                   when 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   
                     f 
                     31 
                   
                   ⁢ 
                   
                     C 
                     L 
                   
                 
                 < 
                 
                   C 
                   D 
                 
               
               , 
               
                 
                   t 
                   II 
                 
                 = 
                 
                   
                     ( 
                     
                       
                         t 
                         1 
                       
                       + 
                       
                         t 
                         2 
                       
                       + 
                       
                         t 
                         3 
                       
                       + 
                       
                         t 
                         4 
                       
                     
                     ) 
                   
                   ⁢ 
                   
                     
                       K 
                       0 
                     
                     
                       h 
                       41 
                     
                   
                 
               
               , 
               
                 
 
               
               ⁢ 
               
                 
                   and 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   if 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   
                     t 
                     II 
                   
                 
                 > 
                 
                   g 
                   41 
                 
               
               , 
               
                 
                   t 
                   II 
                 
                 = 
                 
                   g 
                   41 
                 
               
               , 
             
           
         
         where f 11 , g 11 , f 21 , h 21 , g 21 , h 22 , f 31 , h 31 , g 31 , h 41 , and g 41  are all positive numbers. 
       
     
     
       6. The method of  claim 5 , wherein the preset parameters further comprise a distance protection phase-selection result; and determining, according to the instantaneous current value, the preset parameters, and the cross-line failure auxiliary criterion model, the final time t′ II  of the section-II distance protection action comprises:
 in response to that the distance protection phase-selection result is an interphase failure, determining whether an interphase failure auxiliary criterion is satisfied; and in response to that the interphase failure auxiliary criterion is satisfied, keeping t′ II =t II  unchanged, or in response to that the interphase failure auxiliary criterion is not satisfied, taking t′ II  to be P seconds when t II   P, where P is a positive number; or 
 in response to that the distance protection phase-selection result is a single-phase failure, determining whether a single-phase failure auxiliary criterion is satisfied; in response to that the single-phase failure auxiliary criterion is satisfied, keeping t′ II =t II  unchanged, or in response to that the single-phase failure auxiliary criterion is not satisfied, taking t′ II  to be Q seconds when t II   Q, where Q is a positive number. 
 
     
     
       7. The method of  claim 6 , wherein the cross-line failure auxiliary criterion model comprises an interphase failure auxiliary criterion model and a single-phase failure auxiliary criterion model;
 the formula of the interphase failure auxiliary criterion model is: 
 
       
         
           
             
                 
               
                 { 
                 
                   
                     
                       
                         
                           
                             | 
                             
                               
                                 
                                   I 
                                   . 
                                 
                                 
                                   f 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   φ 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   1 
                                 
                               
                               - 
                               
                                 
                                   I 
                                   . 
                                 
                                 
                                   f 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   φ 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   2 
                                 
                               
                             
                             | 
                           
                           
                             | 
                             
                               
                                 
                                   I 
                                   . 
                                 
                                 
                                   f 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   φ 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   1 
                                 
                               
                               + 
                               
                                 
                                   I 
                                   . 
                                 
                                 
                                   f 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   φ2 
                                 
                               
                             
                             | 
                           
                         
                         ≥ 
                         η 
                       
                     
                   
                   
                     
                       
                         
                           
                             
                                
                               
                                 
                                   I 
                                   . 
                                 
                                 
                                   f 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   φ 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   1 
                                 
                               
                                
                             
                             - 
                             
                                
                               
                                 
                                   I 
                                   . 
                                 
                                 
                                   f 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   φ 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   2 
                                 
                               
                                
                             
                           
                           
                             
                                
                               
                                 
                                   I 
                                   . 
                                 
                                 
                                   f 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   φ 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   1 
                                 
                               
                                
                             
                             + 
                             
                                
                               
                                 
                                   I 
                                   . 
                                 
                                 
                                   f 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   φ2 
                                 
                               
                                
                             
                           
                         
                         ≤ 
                         λ 
                       
                     
                   
                 
               
             
           
         
         where İ fφ1  is a current fundamental phasor of one failed phase of the interphase failure; İ fφ2  is a current fundamental phasor of the other failed phase of the interphase failure; η is a first interphase coefficient, η>1; and λ is a second interphase coefficient, λ<1; and 
         the formula of the single-phase failure auxiliary criterion model is: 
       
       
         
           
             
                 
               
                 { 
                 
                   
                     
                       
                         
                           θ 
                           1 
                         
                         ≤ 
                         
                           arg 
                           ⁡ 
                           
                             ( 
                             
                               
                                 
                                   I 
                                   . 
                                 
                                 
                                   
                                       
                                   
                                   ⁢ 
                                   
                                     φ 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     1 
                                   
                                 
                               
                               / 
                               
                                 
                                   I 
                                   . 
                                 
                                 
                                   
                                       
                                   
                                   ⁢ 
                                   
                                     φ 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     2 
                                   
                                 
                               
                             
                             ) 
                           
                         
                         ≤ 
                         
                           θ 
                           2 
                         
                       
                     
                   
                   
                     
                       
                         
                           
                             
                                
                               
                                 
                                   I 
                                   . 
                                 
                                 
                                   
                                       
                                   
                                   ⁢ 
                                   
                                     φ 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     1 
                                   
                                 
                               
                                
                             
                             - 
                             
                                
                               
                                 
                                   I 
                                   . 
                                 
                                 
                                   
                                       
                                   
                                   ⁢ 
                                   
                                     φ 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     2 
                                   
                                 
                               
                                
                             
                           
                           
                             
                                
                               
                                 
                                   I 
                                   . 
                                 
                                 
                                   
                                       
                                   
                                   ⁢ 
                                   
                                     φ 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     1 
                                   
                                 
                               
                                
                             
                             + 
                             
                                
                               
                                 
                                   I 
                                   . 
                                 
                                 
                                   
                                       
                                   
                                   ⁢ 
                                   
                                     φ 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     2 
                                   
                                 
                               
                                
                             
                           
                         
                         ≤ 
                         λ 
                       
                     
                   
                 
               
             
           
         
         where İ φ1  is a current fundamental phasor of a leading phase in healthy phases; İ φ2  is a current fundamental phasor of a lagging phase in the healthy phases; θ 1  is a first angle of a single phase; θ 2  is a second angle of the single phase, θ 2 >θ 1 >90°. 
       
     
     
       8. The method of  claim 4 , wherein in the adaptive calculation model, the formula for calculating the final time of the section-III distance protection action t III  is:
 when 0≤C D ≤f 11 C L , t III =t 1 +t min +j 11 ; 
 
       
         
           
             
               
                 
                   when 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   
                     f 
                     11 
                   
                   ⁢ 
                   
                     C 
                     L 
                   
                 
                 < 
                 
                   C 
                   D 
                 
                 ⩽ 
                 
                   
                     f 
                     21 
                   
                   ⁢ 
                   
                     C 
                     L 
                   
                 
               
               , 
               
                 
                   t 
                   III 
                 
                 = 
                 
                   
                     
                       ( 
                       
                         
                           t 
                           1 
                         
                         + 
                         
                           t 
                           2 
                         
                       
                       ) 
                     
                     ⁢ 
                     
                       
                         K 
                         0 
                       
                       
                         j 
                         21 
                       
                     
                   
                   + 
                   
                     t 
                     min 
                   
                   - 
                   
                     j 
                     22 
                   
                 
               
               , 
               
                 
 
               
               ⁢ 
               
                 
                   if 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   
                     t 
                     III 
                   
                 
                 < 
                 
                   
                     k 
                     21 
                   
                   + 
                   
                     t 
                     min 
                   
                 
               
               , 
               
                 
                   t 
                   III 
                 
                 = 
                 
                   
                     k 
                     21 
                   
                   + 
                   
                     t 
                     min 
                   
                 
               
               , 
               
                 
 
               
               ⁢ 
               
                 
                   and 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   if 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   
                     t 
                     III 
                   
                 
                 = 
                 
                   
                     k 
                     22 
                   
                   + 
                   
                     t 
                     6 
                   
                   + 
                   
                     t 
                     min 
                   
                 
               
               , 
               
                 
                   
                     t 
                     III 
                   
                   > 
                   
                     
                       k 
                       22 
                     
                     + 
                     
                       t 
                       6 
                     
                     + 
                     
                       t 
                       min 
                     
                   
                 
                 ; 
               
             
           
         
         
           
             
               
                 
                   when 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   
                     f 
                     21 
                   
                   ⁢ 
                   
                     C 
                     L 
                   
                 
                 < 
                 
                   C 
                   D 
                 
                 ⩽ 
                 
                   
                     f 
                     31 
                   
                   ⁢ 
                   
                     C 
                     L 
                   
                 
               
               , 
               
                 
 
               
               ⁢ 
               
                 
                   t 
                   III 
                 
                 = 
                 
                   
                     
                       ( 
                       
                         
                           t 
                           1 
                         
                         + 
                         
                           t 
                           2 
                         
                         + 
                         
                           t 
                           3 
                         
                       
                       ) 
                     
                     ⁢ 
                     
                       
                         K 
                         0 
                       
                       
                         j 
                         31 
                       
                     
                   
                   + 
                   
                     
                       
                         t 
                         5 
                       
                       ⁡ 
                       
                         ( 
                         
                           
                             C 
                             D 
                           
                           - 
                           
                             
                               j 
                               32 
                             
                             ⁢ 
                             
                               C 
                               L 
                             
                           
                         
                         ) 
                       
                     
                     
                       j 
                       33 
                     
                   
                   + 
                   
                     t 
                     min 
                   
                   - 
                   
                     j 
                     34 
                   
                 
               
               , 
               
                 
 
               
               ⁢ 
               
                 
                   and 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   if 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   
                     t 
                     III 
                   
                 
                 > 
                 
                   k 
                   31 
                 
               
               , 
               
                 
                   
                     t 
                     III 
                   
                   = 
                   
                     k 
                     31 
                   
                 
                 ; 
                 
                   
                     and 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     when 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     
                       f 
                       31 
                     
                     ⁢ 
                     
                       C 
                       L 
                     
                   
                   < 
                   
                     C 
                     D 
                   
                 
               
               , 
               
                 
 
               
               ⁢ 
               
                 
                   t 
                   III 
                 
                 = 
                 
                   
                     
                       ( 
                       
                         
                           t 
                           1 
                         
                         + 
                         
                           t 
                           2 
                         
                         + 
                         
                           t 
                           3 
                         
                         + 
                         
                           t 
                           4 
                         
                       
                       ) 
                     
                     ⁢ 
                     
                       
                         k 
                         0 
                       
                       
                         j 
                         41 
                       
                     
                   
                   + 
                   
                     t 
                     5 
                   
                   + 
                   
                     t 
                     min 
                   
                   - 
                   
                     k 
                     41 
                   
                 
               
               , 
               
                 
 
               
               ⁢ 
               
                 
                   and 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   if 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   
                     t 
                     III 
                   
                 
                 > 
                 
                   L 
                   
                     III 
                     . 
                     set 
                   
                 
               
               , 
               
                 
                   
                     t 
                     III 
                   
                   = 
                   
                     L 
                     
                       III 
                       . 
                       set 
                     
                   
                 
                 ; 
               
             
           
         
         after t III  is obtained, if t III   L III.set , t III =L III.set ; where f 11 , f 21 , j 21 , j 22 , k 21 , k 22 , f 21 , f 31 , j 31 , j 32 , j 33 , j 34 , k 31 , f 31 , j 41  and k 41  are all positive numbers. 
       
     
     
       9. A device for timing in time-varying distance protection based on multiple lines of a tower, comprising:
 a parameter collection and acquisition component, connected to a multi-line ranging model component, an adaptive calculation model component and a cross-line failure auxiliary criterion model component respectively, and configured to: collect and acquire preset parameters and send the preset parameters to the multi-line ranging model unit, the adaptive calculation model unit and the cross-line failure auxiliary criterion model unit; 
 the multi-line ranging model component, connected to the adaptive calculation model component, and configured to: calculate, according to the preset parameters sent by the collection and acquisition parameter component and a multi-line ranging model, a multi-line ranging result, and send the multi-line ranging result to the adaptive calculation model component; 
 the adaptive calculation model component, connected to the cross-line failure auxiliary criterion model component, and configured to: calculate, according to the preset parameters, the multi-line ranging result sent by the multi-line ranging model component, and an adaptive calculation model, time of a section-II distance protection action and final time of a section-III distance protection action, and send the time of the section-II distance protection action to the cross-line failure auxiliary criterion model component; and 
 the cross-line failure auxiliary criterion model component, configured to: determine, according to the preset parameters, a cross-line failure auxiliary criterion model, and an instantaneous current value at a time-varying distance protection installation location in the multiple lines of the tower, a final time of section-II distance protection action. 
 
     
     
       10. The device of  claim 9 , wherein the preset parameters comprise a distance protection phase-selection result, a time range K 0 , a length C L  of the multiple lines of the tower, a number N of lines in the multiple lines of the tower, a distance protection ranging result C, a minimum time t min  of the section-III distance protection action and a maximum time L III.set  of the section-III distance protection action. 
     
     
       11. The device of  claim 9 , wherein the cross-line failure auxiliary criterion model comprises an interphase failure auxiliary criterion model and a single-phase failure auxiliary criterion model.

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